Question 71445
Let the first integer be x.  The next consecutive integer is (x+1). From the problem description you can write:
{{{(3/5)(x+1) - (1/2)x = 3}}} Simplify and solve for x.
{{{((3x+3)/5)-x/2 = 3}}} Subtract the fractions on the left side.  The LCD is 10.
{{{((6x+6)-5x)/10 = 3}}} Multiply both sides by 10 and simplify.
{{{x+6 = 30}}} Subtract 6 from both sides.
{{{x = 24}}} and {{{x+1 = 25}}}
The two consecutive integers are: 24 and 25